An index of summability for pairs of Banach spaces
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- 作者：Mariana Maia mariana.britomaia@gmail.com" class="auth_mail" title="E-mail the corresponding author ; Daniel Pellegrino dmpellegrino@gmail.com" class="auth_mail" title="E-mail the corresponding author ; Joedson Santos ; joedsonmat@gmail.com" class="auth_mail" title="E-mail the corresponding author
- 关键词：Polynomials ; Multilinear mappings ; Absolutely summing operators ; Banach spaces
- 刊名：Journal of Mathematical Analysis and Applications
- 出版年：2016
- 出版时间：15 September 2016
- 年：2016
- 卷：441
- 期：2
- 页码：702-722
- 全文大小：381 K
文摘
We introduce the notion of index of summability for pairs of Banach spaces; for Banach spaces E,F, this index plays the role of a kind of measure of how the m-homogeneous polynomials from E to F are far from being absolutely summing. In some cases the optimal index of summability is computed.